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42820412429 is a prime number
BaseRepresentation
bin100111111000010010…
…111010010000001101
311002112020011100000002
4213320102322100031
51200144011144204
631401010014045
73044062333364
oct477022722015
9132466140002
1042820412429
1117184008703
128370577325
1340654a8862
142102dc67db
1511a940491e
hex9f84ba40d

42820412429 has 2 divisors, whose sum is σ = 42820412430. Its totient is φ = 42820412428.

The previous prime is 42820412333. The next prime is 42820412491. The reversal of 42820412429 is 92421402824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39076196329 + 3744216100 = 197677^2 + 61190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42820412429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42820412392 and 42820412401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42820412029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21410206214 + 21410206215.

It is an arithmetic number, because the mean of its divisors is an integer number (21410206215).

Almost surely, 242820412429 is an apocalyptic number.

It is an amenable number.

42820412429 is a deficient number, since it is larger than the sum of its proper divisors (1).

42820412429 is an equidigital number, since it uses as much as digits as its factorization.

42820412429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 42820412429 in words is "forty-two billion, eight hundred twenty million, four hundred twelve thousand, four hundred twenty-nine".